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235734814016 = 2613283335113
BaseRepresentation
bin1101101110001011100…
…0111100110101000000
3211112110202122022202122
43123202320330311000
512330241103022031
6300143423103412
723013504600152
oct3334270746500
9745422568678
10235734814016
1190a7a17a949
123982b141b68
13192ca851440
14b5a4028ad2
1561ea7a247b
hex36e2e3cd40

235734814016 has 28 divisors (see below), whose sum is σ = 503769832692. Its totient is φ = 108800683008.

The previous prime is 235734813983. The next prime is 235734814019. The reversal of 235734814016 is 610418437532.

It is a happy number.

235734814016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29887494400 + 205847319616 = 172880^2 + 453704^2 .

It is a super-2 number, since 2×2357348140162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235734814019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141666725 + ... + 141668388.

It is an arithmetic number, because the mean of its divisors is an integer number (17991779739).

Almost surely, 2235734814016 is an apocalyptic number.

235734814016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

235734814016 is an abundant number, since it is smaller than the sum of its proper divisors (268035018676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235734814016 is a wasteful number, since it uses less digits than its factorization.

235734814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283335138 (or 283335128 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 235734814016 in words is "two hundred thirty-five billion, seven hundred thirty-four million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 283335113 566670226 1133340452 2266680904 3683356469 4533361808 7366712938 9066723616 14733425876 18133447232 29466851752 58933703504 117867407008 235734814016